摘要
In this paper, the pseudo-spectral approximations for a class of the Kdv-Burgers type equation is presented. Convergence and stability of the approximation have been proved by Sobolev's inequalities and the bounded extensive method of the nonlinear function. Finally, the numerical examples are proposed.
基金
Supported by the Natural Science Foundation of Henan Educational Committee(2003110005)
Supported by the Natural Science Foundation of Henan University(XK02069)